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142234200 = 233252312549
BaseRepresentation
bin10000111101001…
…01001001011000
3100220122020122100
420132211021120
5242402443300
622040323400
73344653653
oct1036451130
9326566570
10142234200
1173318729
123b773560
1323610264
1414c6689a
15c748700
hex87a5258

142234200 has 144 divisors (see below), whose sum is σ = 493272000. Its totient is φ = 36691200.

The previous prime is 142234187. The next prime is 142234201. The reversal of 142234200 is 2432241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142234201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54526 + ... + 57074.

It is an arithmetic number, because the mean of its divisors is an integer number (3425500).

Almost surely, 2142234200 is an apocalyptic number.

142234200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636000).

142234200 is an abundant number, since it is smaller than the sum of its proper divisors (351037800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142234200 is a wasteful number, since it uses less digits than its factorization.

142234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142234200 is about 11926.1980530260. The cubic root of 142234200 is about 521.9970053116.

Adding to 142234200 its reverse (2432241), we get a palindrome (144666441).

The spelling of 142234200 in words is "one hundred forty-two million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2549 2790 3100 3720 4650 5098 5580 6200 6975 7647 9300 10196 11160 12745 13950 15294 18600 20392 22941 25490 27900 30588 38235 45882 50980 55800 61176 63725 76470 79019 91764 101960 114705 127450 152940 158038 183528 191175 229410 237057 254900 305880 316076 382350 395095 458820 474114 509800 573525 632152 711171 764700 790190 917640 948228 1147050 1185285 1422342 1529400 1580380 1896456 1975475 2294100 2370570 2844684 3160760 3555855 3950950 4588200 4741140 5689368 5926425 7111710 7901900 9482280 11852850 14223420 15803800 17779275 23705700 28446840 35558550 47411400 71117100 142234200